Hi guys,

I'm super stuck with these two problems on one of my practice exams, can anyone help me out?

Find the integral between 4 and 3 of (u^2 + 1) / (u - 2)^2

Mr F says: . Now note that . Therefore . See what you can do with that.
and the antiderivative of cosxe^(sinx) dx

Mr F says: Make the substitution .
It asks to find the volume of the solid of revolution obtained by rotating, a full turn about the x-axis, the area between the x-axis and the curve y = 2 sin x, for x ∈ [ π , 3π ].

Mr F says: By symmetry, it'll be twice the volume when the area from 0 to pi is rotated:

.
Thnanks